Neutrino oscillations and uncertainty relations

Abstract

We show that coherent flavor neutrino states are produced (and detected) due to the momentum-coordinate Heisenberg uncertainty relation. The Mandelstam-Tamm time-energy uncertainty relation requires non-stationary neutrino states for oscillations to happen and determines the time interval (propagation length) which is necessary for that. We compare different approaches to neutrino oscillations which are based on different physical assumptions but lead to the same expression for the neutrino transition probability in standard neutrino oscillation experiments. We show that a Moessbauer neutrino experiment could allow to distinguish different approaches and we present arguments in favor of the 163Ho-163Dy system for such an experiment.

Some small changes in section 2, results unchanged. Added reference

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Cited by in corpus (15)

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• Wave-packet treatment of neutrino oscillations and its implications on determining the neutrino mass hierarchy
• Some non-trivial aspects of Poincaré and CPT invariance of flavor vacuum
• Superluminal group velocity through near-maximal neutrino oscillations
• Off-shell OPERA neutrinos
• Neutrino oscillations: brief history and present status
• Using Neutrinos to test the Time-Energy Uncertainty Relation in an Extreme Regime
• Time-energy uncertainty relation for neutrino oscillations: historical development, applications and future prospects
• Testing Nonstandard Neutrino Properties with a Mössbauer Oscillation Experiment
• Flavor Oscillation from the Two-Point Function
• Spreading of wave packets for neutrino oscillations in vacuum
• Neutrino Oscillations in Finite Time Path Out-of-Equilibrium Thermal Field Theory
• Neutrino Masses from the Point of View of Economy and Simplicity